Question 3 [5] The current in the circuit below is known to be i(t) = B₁e-2000 cos (1500t) + B₂e-2000t sin (1500t), t≥ 0 R www m (1) The capacitor has a value of 80nF, the initial current is 7.5mA, and the initial voltage across the capacitor is -30V. Find R. L. B₁, B₂.
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- An AC circuit contains a 24 resistor, a 15.9-mH inductor, and a 13.3F capacitor connected in parallel. The circuit is connected to a 240-V, 400-Hz power supply. Find the following values. XL=XC=IR=AIL=AIC=AP=WVARsL=VARsC=IT=AVA=PF=%=List the five capacitor replacement rules.You are an electrician working in an industrial plant. You discover that the problem with a certain machine is a defective capacitor. The capacitor is connected to a 240-volt AC circuit. The information on the capacitor reveals that it has a capacitance value of 10 mF and a voltage rating of 240 VAC. The only 10-mF AC capacitor in the storeroom is marked with a voltage rating of 350 WVDC. Can this capacitor be used to replace the defective capacitor? Explain your answer.
- A postage stamp capacitor has the following color marks starting at the upper-left dot: black, orange, orange, black, silver, and white. What are the capacitance value and tolerance of this capacitor?The figure below shows a simple RC circuit with a 3.30-μF capacitor, a 4.40-M resistor, a 9.00-V emf, and a switch. What are the following exactly 9.00 s after the switch is closed? (a) the charge on the capacitor 13.7204 UC (b) the current in the resistor 0.0110522 x Your response is off by a multiple of ten. HA (c) the rate at which the capacitor is storing energy μW (d) the rate at which the battery is delivering energy μWeeeeee t=0 Y. Co) = 15V Ye C4) 0,25MF R In the above circuit, thie switch closes at t= 0. The capacitor is charged to voltage ISV initially. Find the capacitor for the following cases: Ca) R= 8.5k (6) R= 4k () R= 1k * plot the waveforms for each Cuse www
- 6. The waveform of the current in a 40mH inductor is shown in following Figure. Find the waveform of the inductor voltage. i(t) mA 4 10 -10 2 √141= -400 mu 400 md 400 mu -toomd 3 4 5 cetelus istszus 2stc3ms 31+64thl 4steśms 6 t (ms)Shown in the figure below is an "RLC" circuit driven by an AC power source. The AC power source has an RMS voltage of Vps(RMS) = 11.80 Volts and is running at a frequency of f = 147000 Hz. The resistor has a resistance of R = 3910 Ω, the capacitor has a capacitance of C = 4.01e-10 Farads, and the inductor has an inductance of L = 5.97e-03 Henries.Write the FORMULA for the total impedance of the circuit Ztot = Write the FORMULA for the phase of the total impedance of the circuit ?Ztot = Determine the numerical value of Ztot = ΩDetermine the numerical value of ?Ztot = degreesDetermine the current through the circuit: I(PEAK) = Amps I(RMS) = Amps Determine the voltage across the inductor: VL(PEAK) = Volts VL(RMS) = Volts Determine the voltage across the capacitor: VC(PEAK) = Volts VC(RMS) = Volts If a second circuit were connected in parallel with the resistor, this circuit would be considered as: a high-pass filtera flux capacitor a radio tunera phase…In a circuit, there is a series connection of an ideal resistor and an ideal capacitor. The conduction current (in Amperes) through the resistor is 2sin(t+ n/2). The displacement current (in Amperes) through the capacitor is
- Find the charge q(t) on the capacitor and the current i(t) in the given LRC-series circuit. 5 L= -h, h, R = 10 , C = f, E(t) = 350 V, q(0) = 0 C, i(0) = 0 A 7 q(t) i(t) = = 1 70 e C₁cos 7t + C₂sin 7t -7. +5 -7e-7t. -7C₁sin 7t+7C₂cos 7t Read It X C A Find the maximum charge on the capacitor. (Round your answer to three decimal places.) 5.216 C Need Help?A resistor and a capacitance are connected in series to an emf source. The time constant of the circuit is 0.87 s. What will be the 35 - time constant of the new circuit when another capacitor identical to the first is connected in series with the circuit? O a) 0.973s O B) 1,742 s O C) 2.034 s O D) 2.136 s O TO) 0.435 sThe figure below shows a simple RC circuit with a 3.50-µF capacitor, a 3.60-MQ resistor, a 9.00-V emf, and a switch. What are the following exactly 6.50 s after the switch is closed? S C R (a) the charge on the capacitor (b) the current in the resistor µA (c) the rate at which the capacitor is storing energy (d) the rate at which the battery is delivering energy